Parton Distribution in Pseudoscalar Mesons with a Light-Front Constituent Quark Model

Abstract

We compute the distribution amplitudes of the pion and kaon in the light-front constituent quark model with the symmetric quark-bound state vertex function. In the calculation we explicitly include the flavor-SU(3) symmetry breaking effect in terms of the constituent quark masses of the up (down) and strange quarks. To calculate the kaon parton distribution functions~(PDFs), we use both the conditions in the light-cone wave function, i.e., when $\bar{s}$ quark is on-shell, and when $u$ quark is on-shell, and make a comparison between them. The kaon PDFs calculated in the two different conditions clearly show asymmetric behaviour due to the flavor SU(3)-symmetry breaking implemented by the quark masses.

Latex file, 4 figures, use AIP style. Small mistakes are corrected, (Eq.(5) and Eq.(6))

References in corpus (7)

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• Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
• Pion and kaon elastic form factors in a refined light-front model
• Pion structure in the nuclear medium
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